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Simplifying 4(c + 5) = 2(9c + -4) Reorder the terms: 4(5 + c) = 2(9c + -4) (5 * 4 + c * 4) = 2(9c + -4) (20 + 4c) = 2(9c + -4) Reorder the terms: 20 + 4c = 2(-4 + 9c) 20 + 4c = (-4 * 2 + 9c * 2) 20 + 4c = (-8 + 18c) Solving 20 + 4c = -8 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 20 + 4c + -18c = -8 + 18c + -18c Combine like terms: 4c + -18c = -14c 20 + -14c = -8 + 18c + -18c Combine like terms: 18c + -18c = 0 20 + -14c = -8 + 0 20 + -14c = -8 Add '-20' to each side of the equation. 20 + -20 + -14c = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -14c = -8 + -20 -14c = -8 + -20 Combine like terms: -8 + -20 = -28 -14c = -28 Divide each side by '-14'. c = 2 Simplifying c = 2
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